Add to ORKGIn this paper we study the operators associated with g-frame se-quences in a Hilbert space H, i.e., the synthesis operator, the anal-ysis operator and the g-frame operator. Also, for all of these opera-tors, we investigate their pseudo-inverses. Furthermore, we introduce concept of cg-Riesz bases and verify some properties of them. Fi-nally, for constructing a large number of cg-frames from existing cg-frames, we give necessary and sufficient conditions on cg-Bessel families {Λω ∈ B(H,Hω) : ω ∈ Ω} and {θω ∈ B(H,Hω) : ω ∈ Ω} and operators L1 and L2 on H such that {ΛωL1 + θωL2}ω∈Ω is a cg-frame for H
We give a generalization of g-frame in Hilbert C∗-modules that was introduced by Khosravies then inv...
<p>In this paper we study the duality of Bessel and $g$-Bessel sequences in Hilbert spaces. We s...
AbstractG-frames, which were considered recently as generalized frames in Hilbert spaces, have many ...
Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-...
<div style="font-size: 14.9433px; font-family: serif; left: 263.35px; top: 620.579px; transform: rot...
Firstly, we study the representation of g-frames in terms of linear combinations of simpler ones suc...
AbstractG-frames have some properties similar to those of frames in complex Hilbert spaces, but not ...
In this paper we study g-frames on the direct sum of Hilbert spaces. We generalize some of the resul...
In this paper, we obtain new inequalities for g-frames in Hilbert C * -modules by using opera...
Abstract In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with ...
AbstractIn this paper we give some new results for g-frames in Hilbert C∗-modules and then we introd...
AbstractG-frames are generalized frames which include ordinary frames, bounded invertible linear ope...
This note is a survey and collection of results, as well as presenting some original research. For B...
Abstract. In this note, we aim to show that several known gener-alizations of frames are equivalent ...
AbstractWe give simple necessary and sufficient conditions on Bessel sequences {fi} and {gi} and ope...
We give a generalization of g-frame in Hilbert C∗-modules that was introduced by Khosravies then inv...
<p>In this paper we study the duality of Bessel and $g$-Bessel sequences in Hilbert spaces. We s...
AbstractG-frames, which were considered recently as generalized frames in Hilbert spaces, have many ...
Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-...
<div style="font-size: 14.9433px; font-family: serif; left: 263.35px; top: 620.579px; transform: rot...
Firstly, we study the representation of g-frames in terms of linear combinations of simpler ones suc...
AbstractG-frames have some properties similar to those of frames in complex Hilbert spaces, but not ...
In this paper we study g-frames on the direct sum of Hilbert spaces. We generalize some of the resul...
In this paper, we obtain new inequalities for g-frames in Hilbert C * -modules by using opera...
Abstract In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with ...
AbstractIn this paper we give some new results for g-frames in Hilbert C∗-modules and then we introd...
AbstractG-frames are generalized frames which include ordinary frames, bounded invertible linear ope...
This note is a survey and collection of results, as well as presenting some original research. For B...
Abstract. In this note, we aim to show that several known gener-alizations of frames are equivalent ...
AbstractWe give simple necessary and sufficient conditions on Bessel sequences {fi} and {gi} and ope...
We give a generalization of g-frame in Hilbert C∗-modules that was introduced by Khosravies then inv...
<p>In this paper we study the duality of Bessel and $g$-Bessel sequences in Hilbert spaces. We s...
AbstractG-frames, which were considered recently as generalized frames in Hilbert spaces, have many ...